Assume that cream has a specific heat of 2900 J/kg· ◦C and has the same heat of fusion (3.34 × 105 J/kg) and melting point as water, and that ice cream has a specific heat of 2200 J/kg· ◦C. If two kilograms of cream are initially at 10◦C, how much liquid nitrogen, which has a latent heat of vaporization of 2.00 × 105 J/kg, must be vaporized to cool, freeze, and further cool the cream to -10◦C? Assume that the liquid nitrogen is kept at 77 K, the temperature of its liquid-gas phase transition, and that the gas floats away into the room at that temperature (so no heat goes to heating up the nitrogen gas).

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8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
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Assume that cream has a specific heat of 2900 J/kg· ◦C and has the same heat of fusion (3.34 × 105 J/kg) and melting point as water, and that ice cream has a specific heat of 2200 J/kg· ◦C. If two kilograms of cream are initially at 10◦C, how much liquid nitrogen, which has a latent heat of vaporization of 2.00 × 105 J/kg, must be vaporized to cool, freeze, and further cool the cream to -10◦C? Assume that the liquid nitrogen is kept at 77 K, the temperature of its liquid-gas phase transition, and that the gas floats away into the room at that temperature (so no heat goes to heating up the nitrogen gas).

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